Precious stone Growth, Wafer Fabrication and Basic Properties of Silicon Wafers

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Headings and Planes in Crystals. . cross section consistent. . Bearings (vector parts: a solitary course is communicated as [a set of 3 integers], proportional headings (family) are communicated as < an arrangement of 3 numbers >Planes: a solitary plane is communicated as (an arrangement of 3 whole numbers h k l = Miler records) and proportionate planes are communicated as {a set of 3 integers}.

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: Silicon VLSI Technology Fundamentals, Practice and Modeling by J. D. Plummer, M. D. Arrangement, and P. B. Griffin Chapter 3 Crystal Growth, Wafer Fabrication and Basic Properties of Silicon Wafers ECE 6466 " IC Engineering " Dr. Wanda Wosik UH; F2013

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Basic Crystal Lattice Silicon in microelecronics: Single Crystal Polycrystalline Amorphous periodic small crystals no long range arrangements order between of atoms atoms Crystal grid is depicted by a unit cell with a base vector (remove between particles) Types of unit cells Body Centered Cube Face Centered Cube

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Directions and Planes in Crystals Directions (vector segments: a solitary bearing is communicated as [ an arrangement of 3 whole numbers ] , equal headings (family) are communicated as < an arrangement of 3 numbers > Planes : a solitary plane is communicated as ( an arrangement of 3 whole numbers h k l = Miler records ) and proportionate planes are communicated as { an arrangement of 3 whole numbers } Miler files : take a,b,c (different of essential vectors ex. x=4a, y=3a, z=2a) reciprocals (1/4, 1/3, 1/2)- > shared factor (3/12, 4/12, 6/12) - > the littlest numerators (3 4 6) cross section steady

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Silicon Crystal Structure Diamond grid (Si, Ge, GaAs) Two interpenetrating FCC structures moved by a/4 in each of the three bearings All particles in both FCCs covalent holding Diamond Atoms inside one FCC originate from the second grid (100) Si for gadgets (111) Si not utilized - oxide charges

Slide 6 entryways of-amd,review-15637-7.html

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• Silicon has the essential precious stone gem structure - two combined FCC cells balance by a/4 in x, y and z. See 3D models • Various sorts of deformities can exist in precious stone (or can be made by handling steps. All in all these are adverse to gadget execution.

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Defects in Crystals Point deserts, line surrenders, volume abandons

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Dislocation Formation by Point Defects Agglomeration Intrinsic point absconds in a precious stone N v and N I increment with T Agglomeration of Interstitials crumple After Shimura

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Stacking Faults and Grain Boundary Perfect stacking OISF Induced by oxidation Missing (111) plane SFs bound by disengagements After Campbell After Shimura

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Types of Dislocations Dislocation line Screw Dislocations Start the shape here Dislocation line | Burger vector - screw Burger vector - edge b Edge Disclocation embedded plane b In Si 60° separations are framed in handling After Shimura

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Silicon Crystal w/o Dislocations Process prompted disengagements fall apart gadgets Grown Si gem is without disengagement Dangling obligations of a half plane influence physical and electrical properties (here 60°) Pure edge separation After Shimura

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Propagation of Dislocations by Climb Motion Shift After Shimura

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Motion of Dislocations by Glide Stress actuated by T inclination  T Mismatch of warm development coeff., layers, hastens Easy movement of disengagements  T After Wolf&Tauber

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Raw Material and Purification After Wolf&Tauber

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Purification and Preparation of Electronic Grade Semiconductor MGS  EGS  Si Crystal 2SiHCl 3 +H 2 → 2Si+6HCL gas strong MSG Refined quartzite (SiO 2 ) ppb virtue of EGS for CZ or FZ 300 °C MGS+HCl → SiHCl 3 98% unadulterated Grind to powder Liquid ar RT After Wolf&Tauber

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Crystal Growth • Si utilized for gem development is cleansed from SiO 2 (sand) through refining, fragmentary refining and CVD. • The crude material contains < 1 ppb pollutions. Pulled precious stones contain O (≈ 10 18 cm - 3 ) and C (≈ 10 16 cm - 3 ), in addition to any additional dopants set in the liquefy. • Essentially all Si wafers utilized for ICs today originate from Czochralski developed precious stones. • Polysilicon material is dissolved, held at near 1417 ˚C, and a solitary precious stone seed is utilized to begin the development. • Pull rate, liquefy temperature and turn rate are extremely essential control parameters. → Introduces SiO 2 in CZ; O i ≈10 17 - 10 18 cm - 3 → C ≈ 10 15 - 10 16 cm - 3 Ar encompassing

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Czochralski Growth •Load EGS+Impurities P, B, As •pump-out, •seed down, •pull quick, •pull moderate EGS 100 kg Neck limits disengagements Crystal hardens increments - pull rate diminishes seed (More data on precious stone development at gem growth.asp Also, see movements of (Photo politeness of Ruth Carranza.))

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Details of Czochralski Growth Rotation of cauldron and gem in inverse Directions enhances development and doping consistency Ar Oxygen joining - essential for inherent gettering 10 17 - 10 18 cm - 3 Carbon adds to local deformities 10 15 - 10 16 cm - 3 After Shimura

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Oxygen Concentrations in CZ Silicon Si liquefies - C-Si development Role of temperature After Campbell

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Requirement for Larger Crystals 12 crawls After Wolf&Tauber

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Wafer Preparation and Specification Mark wafer prior (laser process) to track their procedure stream Grind gem to a distance across (200mm 750µm) … 850µm thick Grind pads (the essential and optional) Saw of the boule into wafers Lapping, scratching (clump handle in acids drawing Si) 20 µm, cleaning (synthetic mechanical) 25µm evacuates harm and enhances levelness ±2µm SiO 2 10nm in NaOH/DI Suspension Al 2 O 3 CMP 3Si +4HNO 3 +18HF  3H 2 SiF 6 +4NO+8H 2 O

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Orientation of ICs on Silicon Wafers Si separates along {111} For (100) the {111} planes are along <110> Primary and Secondary Flats plane After Shimura

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Float Zone Method for Crystal Growth • An option procedure is the buoy zone handle which can be utilized for refining or single gem development. No cauldron - no debasements High resistivity Si Add Dopants (gas) PH 3 B 2 H 6 EGS ESG

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Crystal Growth and Wafers Fabrication • After precious stone pulling, the boule is formed and cut into wafers which are then cleaned on one side.

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Modeling CZ Crystal Growth • We wish to discover a relationship between force rate and precious stone breadth. • Freezing happens between isotherms X 1 and X 2 . • Heat adjust (A B C): idle warmth of crystallization + warm led from liquefy to precious stone = warm led away. C=Radiation B=conduction in strong A=Heat of crystallization Freezing interface Liquid to strong → HEAT  (1) For gem consistency T consistency is imperative V pmax ~1√r Large  precious stone requires moderate draw rates

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• The rate of development of the gem is (2) where v P is the force rate and N is the thickness. (3) • Neglecting the center term in Eqn. (1) we have: • so as to supplant dT/dx 2 , we have to consider the warmth exchange forms. • Heat radiation from the precious stone (C) is given by the Stefan-Boltzmann law (4) • Heat conduction up the gem is given by (5)

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• Differentiating (5), we have (6) (7) • Substituting (6) into (4), we have • k S shifts generally as 1/T, so if k M is the warm conductivity at the dissolving point, (8) (9) • Solving this differential condition, assessing it at x = 0 and substituting the outcome into (3), we get (see content): (10) • This gives a maximum draw rate of ≈ 24 cm hr - 1 for a 6 " gem (see content). Real values are ≈ 2X not as much as this.

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Dopant Segregation During Crystal Growth " k " influences doping consistency 1 After Wolf&Tauber

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Modeling Dopant Behavior During Crystal Growth • Dopants are added to the liquefy to give a controlled N or P doping level in the wafers. • However, the dopant consolidation process is confused by dopant isolation. Isolation Coefficients of Various Impurities in Silicon • Most k 0 qualities are <1 which implies the pollution wants to remain in the fluid. • Thus as the precious stone is pulled, N S will increment.

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Solid Solubility After Campbell

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Dopant Incorporation During CZ Growth • If amid development, an extra volume dV solidifies, the contaminations fused into dV are given by set (12) Removed → from the liquefy (13) (14) Initial in soften During the development • We are truly keen on the polluting influence level in the precious stone (C S ), so when incremental volume solidifies (15) (16) where f is the division of the dissolve solidified (V s/V 0 ).

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Uniformity of Crystal Doping tail seed k o =0.8 • Plot of Eq. (16). • Note the generally level profile delivered by boron with a k S near 1. • Dopants with k S << 1 create considerably more variety in doping focus along the precious stone. k 0 =0.35 where f is the part of the dissolve solidified. k 0 =0.023

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After Wolf&Tauber

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Radial Doping Nonuniformity After Shimura

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Zone Refining and FZ Growth Segregation of Impurities Between Solidus and Liquidus (in FZ Growth) RF - > melt=zone moving Poly-Si Crystal C 0 unique fixation in the bar I - the quantity of debasements in the fluid dI=(C 0 - k 0 C L )dx • In the buoy zone prepare, dopants and different polluting influences tend to remain in the fluid and along these lines refining can be expert, particularly with numerous passes • See the content for models of this proces